Details

sample86.0ms

Algorithm

intervals

Results

22.0ms	26×	body	1280	valid
15.0ms	42×	body	640	valid
13.0ms	157×	body	80	valid
10.0ms	20×	body	320	valid
7.0ms	11×	body	160	valid

simplify26.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	17
5	17
4	16
3	14
2	12
1	8
0	5

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize20.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
4×	`pow1`
3×	`associate-l` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 59

Calls

2 calls:

31.0ms	(* x (/ (sin y) y))
19.0ms	(/ (sin y) y)

series196.0ms

Counts

2 → 6

Calls

2 calls:

123.0ms	(* x (/ (sin y) y))
72.0ms	(/ (sin y) y)

simplify5.0s

Counts

65 → 65

Iterations

Iter	Nodes
done	5001
3	2878
2	729
1	227
0	98

prune1.0s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (* (sin y) (/ 1 y)))
0.2b	(* (sin y) (/ 1 y))

rewrite240.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log`
18×	`add-sqr-sqrt`
16×	`add-cbrt-cube`
14×	`associate-r`
13×	`prod-exp`
12×	`*-un-lft-identity`
11×	`add-cube-cbrt` `times-frac`
9×	`pow1`
7×	`cbrt-unprod`
6×	`associate-l`
4×	`associate-*r/` `div-exp` `pow-prod-down`
3×	`unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `un-div-inv` `*-commutative` `add-log-exp`
1×	`div-inv`

Counts

2 → 60

Calls

2 calls:

114.0ms	(* x (* (sin y) (/ 1 y)))
121.0ms	(* (sin y) (/ 1 y))

series234.0ms

Counts

2 → 6

Calls

2 calls:

125.0ms	(* x (* (sin y) (/ 1 y)))
108.0ms	(* (sin y) (/ 1 y))

simplify4.3s

Counts

66 → 66

Iterations

Iter	Nodes
done	5009
3	3035
2	1006
1	287
0	113

prune415.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(* (cbrt x) (cbrt x))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

2.0ms	(cbrt x)
2.0ms	(cbrt x)
2.0ms	(cbrt x)
31.0ms	(* (cbrt x) (cbrt x))

series2.2s

Counts

4 → 12

Calls

4 calls:

553.0ms	(cbrt x)
593.0ms	(cbrt x)
639.0ms	(cbrt x)
412.0ms	(* (cbrt x) (cbrt x))

simplify11.9s

Counts

85 → 85

Iterations

Iter	Nodes
done	5018
4	4162
3	1093
2	356
1	136
0	61

prune917.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize69.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x (/ (sin y) y))) (cbrt (* x (/ (sin y) y))))
7.6b	(cbrt (* x (/ (sin y) y)))
7.6b	(cbrt (* x (/ (sin y) y)))
7.6b	(cbrt (* x (/ (sin y) y)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `-un-lft-identity` `associate-r/`
7×	`cbrt-prod` `cbrt-div`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 64

Calls

4 calls:

30.0ms	(* (cbrt (* x (/ (sin y) y))) (cbrt (* x (/ (sin y) y))))
11.0ms	(cbrt (* x (/ (sin y) y)))
10.0ms	(cbrt (* x (/ (sin y) y)))
8.0ms	(cbrt (* x (/ (sin y) y)))

series1.3s

Counts

4 → 12

Calls

4 calls:

505.0ms	(* (cbrt (* x (/ (sin y) y))) (cbrt (* x (/ (sin y) y))))
253.0ms	(cbrt (* x (/ (sin y) y)))
235.0ms	(cbrt (* x (/ (sin y) y)))
304.0ms	(cbrt (* x (/ (sin y) y)))

simplify3.7s

Counts

76 → 76

Iterations

Iter	Nodes
done	5000
3	1953
2	684
1	230
0	96

prune2.8s

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes914.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch1.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end1.0ms

sample8.4s

Algorithm

intervals

Results

3.7s	5229×	body	80	valid
2.9s	1008×	body	640	valid
1.0s	896×	body	1280	valid
255.0ms	566×	body	320	valid
84.0ms	301×	body	160	valid